Question

A graph contains the following points: (4,10)
, (6,12)
, and (8,14)
. What type of rule is represented?(1 point)
Responses

additive, x+6
additive, x plus 6

multiplicative, 2x
multiplicative, 2 x

multiplicative, 2y
multiplicative, 2 y

additive, x+2

Answer 1

To determine the type of rule represented by the points (4,10), (6,12), and (8,14), we can analyze the relationship between the x and y values.

First, let's look at the changes in the y values as x increases:

- From (4,10) to (6,12): x increases by 2, y increases by 2.
- From (6,12) to (8,14): x increases by 2, y increases by 2.

Since the increase in y is consistent (an increase of 2 for every increase of 2 in x), this suggests an additive relationship.

Next, we can express the relationship. The pattern shows that for each x, you are adding 6 to get y:

- When x = 4, y = 4 + 6 = 10
- When x = 6, y = 6 + 6 = 12
- When x = 8, y = 8 + 6 = 14

Thus, the rule can be represented as \( y = x + 6 \).

Based on the responses provided, the correct answer is:
**additive, x plus 6**.